Algebra Examples

$2 (\frac{3}{4} n + 8 + \frac{1}{4} n - 12)$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{3}{4}$ and $n$ .

$2 (\frac{3 n}{4} + 8 + \frac{1}{4} n - 12)$

Step 1.2

Combine $\frac{1}{4}$ and $n$ .

$2 (\frac{3 n}{4} + 8 + \frac{n}{4} - 12)$

$2 (\frac{3 n}{4} + 8 + \frac{n}{4} - 12)$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$2 (8 - 12 + \frac{3 n + n}{4})$

Step 2.2

Add $3 n$ and $n$ .

$2 (8 - 12 + \frac{4 n}{4})$

Step 2.3

Cancel the common factor of $4$ .

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Step 2.3.1

Cancel the common factor.

$2 (8 - 12 + \frac{4 n}{4})$

Step 2.3.2

Divide $n$ by $1$ .

$2 (8 - 12 + n)$

$2 (8 - 12 + n)$

Step 2.4

Subtract $12$ from $8$ .

$2 (- 4 + n)$

Step 2.5

Apply the distributive property.

$2 \cdot - 4 + 2 n$

Step 2.6

Multiply $2$ by $- 4$ .

$- 8 + 2 n$

$- 8 + 2 n$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$